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The entropy of finite gravitating regions

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arxiv 2312.08434 v3 pith:63WHUJAF submitted 2023-12-13 hep-th gr-qc

Vijay Balasubramanian , Charlie Cummings This is my paper
classification hep-thgr-qc
keywords regionentropygravitatingregionsencodeentanglementholographyspacetime
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We develop a formalism for calculating the entanglement entropy of an arbitrary spatial region of a gravitating spacetime at a moment of time symmetry. The crucial ingredient is a path integral over embeddings of the region into the overall spacetime, interpretable as a sum over the edge modes associated with the region. We find that the entanglement entropy of a gravitating region equals the minimal surface area among all regions that enclose it. This suggests a notion of "terrestrial holography" where regions of space can encode larger ones, in contrast to the standard form of holography, in which degrees of freedom on the celestial sphere at the boundary of the universe encode the interior.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Relational entanglement entropies and quantum reference frames in gauge theories

    hep-th 2025-06 accept novelty 7.0 of 10

    Quantum reference frames built from Wilson lines give lattice gauge theories gauge-invariant subsystem factorizations and a hierarchy of relational entanglement entropies.

  2. Hollow-grams: Generalized Entanglement Wedges from the Gravitational Path Integral

    hep-th 2025-06 conditional novelty 7.0 of 10

    The entropy of a bulk region in holographic states equals the generalized entropy of the smallest wedge containing it, derived from a replica path integral via a hollow-graphic construction.

  3. Toward an Observable Algebra for de Sitter Space: Gap Protection and Modular Dressings

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    In global dS2 the fundamental complement of a finite union of arcs is empty unless some complementary gap has length at least π; a commutant-based algebra model reproduces this and exhibits a discontinuous 'activation...

  4. From Asymptotically Flat Gravity to Finite Causal Diamonds

    hep-th 2025-12 unverdicted novelty 6.0 of 10

    The soft sector phase space of asymptotically flat gravity equals the phase space of radial size fluctuations of a finite causal diamond in flat spacetime.

  5. Algebras, Entanglement Islands, and Observers

    hep-th 2025-06 conditional novelty 6.0 of 10

    Entanglement islands in the AdS/bath island model realize the quantum-gravity 'observer' as a Goldstone vector mode, making the island operator algebra an emergent Type II∞ von Neumann algebra.

  6. Emergent Holographic Spacetime from Quantum Information

    hep-th 2025-06 unverdicted novelty 3.0 of 10

    Takayanagi's essay outlines a research program in which holographic spacetime, including the time direction, may emerge from entanglement, complexity, and complex-valued pseudo-entropy, without presenting a new derivation.

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